This is my third "show-and-tell" article for homeschoolers about interesting and unusual educational resources.
CSMP (Comprehensive School Mathematics Program) is an astoundingly
detailed and complete K-6 mathematics curriculum which has been
archived on the Internet and made freely available. I have been
using it with my own kids, starting with the Kindergarten materials,
since they were 3 1/2 years old, and we are now well into the 4th grade
part of the curriculum.
Its development was funded by the National Institute of Education back
in the 60s and 70s, as part of the space-race-inspired push to develop
a groundbreaking math curriculum. An international team of
mathematicians was assembled, and tasked with the challenge of
rethinking the way mathematics was taught. The result was this
unique curriculum, published first by CEMREL and then by McREL, which
used mathematics as a tool to develop a wide range of abstract and
analytical thinking skills.
Many educators have embraced and lauded this curriculum over the past
few decades. It was spotlighted in the U.S. Department of
Education Office of Educational Research and Improvement's
"Tried and True"
publication for programs with "clear evaluation data which support
program effectiveness". While successful for many years, the
program's uniqueness eventually became a marketing liability. Few
schools have the budget to train teachers in any approach that's
outside of the mainstream, and the current emphasis on standardized
testing scares parents and teachers away from anything different.
McREL decided to discontinue selling the curriculum.
But then, McREL did a truly noble thing. Rather than letting CSMP become
abandonware,
McREL permitted the entire curriculum to be archived on the
Internet. Thousands of dollars of curriculum were made available
for free: teacher guides, workbooks, storybooks, puzzlebooks...
everything!
If you take the time to check out the material, the first thing you'll
notice is the unbelievably detailed teaching manuals. I have
never seen any other teaching manual, ever, for any subject, as
detailed as these. An in-depth lesson is provided for every day
of every grade level. The lesson plans are based on the "spiral
method" in which concepts are rotated and combined, gradually
introducing a concept once and then revisiting it again weeks later,
allowing each student to master the material in his own time in an
unpressured way.
I can honestly say that the CSMP teaching manuals are what gave me the
confidence to embark on homeschooling my own kids. Although in
many areas I'm content to unschool, math was one thing I didn't want to
leave to chance. (That's just me, because math is one of my own
personal passions. I know that other homeschoolers are able to
successfully unschool their kids in math, and I respect that). I
might not have had the courage to homeschool without this complete
roadmap for teaching mathematics.
One important thing to keep in mind about the program is that it is
really designed to be taught by an instructor. Many homeschooling
parents (especially those with large families) are looking for
workbooks or interactive computer programs that their children can
learn from without any parental instruction. This is NOT such a
curriculum. A typical lesson plan will have the instructor
introduce some concept, and then guide the child interactively through
some sample challenges. Then the child is given some related
worksheets to work on independently.
Here's the way I use the curriculum: First, because of the
breadth and depth of the curriculum, I try to set aside some time at
least four times a week to do math lessons with the kids. Because
my children are at different levels within the program, I unfortunately
can't teach them simultaneously. I must prepare two lessons (it
usually only takes me 5 or 10 minutes to understand the lesson and
assemble any materials that will be required). While I work with
one child on math, the other is usually working independently on a
writing or reading assignment. At the younger grade levels, a
lesson rarely took us more than 15 minutes or so, but at the higher
grade levels, a typical lesson might take as much as 30 minutes of
"interactive" time, and maybe up to an additional 30 minutes of
independent work.
But other homeschoolers use the program in a very different way.
Some use the program for a period of time as an antidote to typical
math books, but eventually return to a mainstream curriculum once the
parent/child friction over math (or anxiety about some particular
topic) has been reduced. Others cull the lesson plans for
interesting projects that augment their traditional math
curriculum. Although much of the CSMP material is interrelated,
there are some wonderful standalone lessons that don't require any
other knowledge of the program, especially in geometry, probability,
graph theory, and general puzzle solving. For a list of my
favorites, check out:
http://mengelberg.home.comcast.net/CSMP/CSMPLessons.html
CSMP uses a special visual language to teach certain types of
mathematical abstractions. Although everything is explained
thoroughly in the teaching manuals, if you're browsing the materials
for the first time, your first reaction is likely to be, "Huh? What the
heck does that picture mean?" So before diving in, I recommend
checking out my brief overview of the most important new notations
you'll encounter. You can find my overview at:
http://mengelberg.home.comcast.net/CSMP/csmp.html
And of course, most importantly, you'll need the link for the curriculum, which
you'll notice is located at Buffalo State College. The existence
of this archive is thanks to Tom Giambrone, who spent many, many hours
scanning in the materials, and the people of Buffalo State for
assisting him and funding his archival efforts:
http://ceure.buffalostate.edu/~csmp/
LICENSE
This work is licensed under a
Creative
Commons Attribution-NonCommercial-ShareAlike 2.5 License. In non-legalese, this means that you can reprint this article
(or an edited version) in a non-commercial publication or newsletter as
long as you mention my name. Commercial use of this article
requires my permission.